Question:
In an office with 30 trainee and a team lead, the average age of the whole team decreases by 1 year when team lead is excluded. If the average age of the whole team is 27 years, then what is the age of the team lead?
In an office with 30 trainee and a team lead, the average age of the whole team decreases by 1 year when team lead is excluded. If the average age of the whole team is 27 years, then what is the age of the team lead?
Updated On: Mar 4, 2025
- 54 years
- 55 years
- 56 years
- 57 years
Hide Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Calculating the Age of the Team Lead
Given Information:
- Total number of members: n = 31 (30 trainees + 1 team lead)
- Average age of the whole team: 27 years
Step-by-Step Calculation:
1. Calculate the Total Age of the Whole Team:
Total age = 31 × 27 = 837
2. Excluding the Team Lead:
When the team lead is excluded, the new average age becomes:
New average age = 27 - 1 = 26
Total age of 30 trainees = 30 × 26 = 780
3. Finding the Age of the Team Lead:
Age of the team lead = 837 - 780 = 57
Final Answer:
Thus, the correct answer is 57 years (Option D).
Was this answer helpful?
0
0
Top Questions on distance
- The ages of Ajay and Vijay differ by 22.5 years. If \(6\frac{1}{2}\) years ago, Vijay was \(3\frac{1}{2}\) times as old as Ajay, find their present ages.
- If the average age of a group of 5 people is 30 years, and one person leaves the group, what is the new average age?
- David is currently twice the age of his brother Daniel. If Daniel is 10 years old, how old will David be in 5 years?
- Janaki's age is three times that of her daughter Sita. If Sita will be 15 years old in 5 years, how old will Janaki be in 5 years?
- If Thomas is currently 20 years old and twice the age of his sister Mary, how old will Mary be in 5 years?
View More Questions
Questions Asked in ATMA exam
- Which among \( 2^{1/2}, 3^{1/3}, 4^{1/4}, 6^{1/6} \) and \( 12^{1/12} \) is the largest?
- ATMA - 2026
- Exponents
Arun’s present age in years is 40% of Barun’s. In another few years, Arun’s age will be half of Barun’s. By what percentage will Barun’s age increase during this period?
- ATMA - 2026
- Ratio and Proportion
- If \( x = -0.5 \), then which of the following has the smallest value?
- ATMA - 2026
- Exponents
- When you reverse the digits of the number 13, the number increases by 18. How many other two-digit numbers increase by 18 when their digits are reversed?
- ATMA - 2026
- Number System
- The ratio of two numbers is 3 : 5. If 39 is added to the first, and 14 is added to the second, then the ratio becomes 6 : 7. What will be the ratio if 11 is added to the first number and 6 is added to the second number?
- ATMA - 2026
- Ratio and Proportion
View More Questions